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(3) Factoring Again!!!

(3) Factoring Again!!!. Objective: Students will factor trinomials with a leading coefficient greater than one. Example: Factor 3x 2 + 13x + 4 TYPE 5 We will make a T to determine the coefficients of the factors. How do you factor a trinomial whose leading coefficient is not 1?.

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(3) Factoring Again!!!

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  1. (3) Factoring Again!!! Objective: Students will factor trinomials with a leading coefficient greater than one.

  2. Example: Factor 3x2 + 13x + 4 TYPE 5 We will make a T to determine the coefficients of the factors... How do you factor a trinomial whose leading coefficient is not 1? Write factors of the first term in this column. Write factors of the last term in this column. ( ) 3 1 2 2 3 1 1 4 These are the coefficients of the factors... ( ) (3x + 1)(x + 4) 2 + 6 ≠ 13 1 + 12 = 13 Multiple diagonally and add. See if the sum matches the middle term... …if not, try another combination of factors...

  3. Example: Factor 6d2 + 33d – 63 2 –3 Remember, look for the GCF first... GCF: 3 3(2d2 + 11d – 21) Now, factor the trinomial (using a T) 1 7 –3 + 14 = 11 3(2d – 3)(d + 7)

  4. Closure:

  5. Quiz! • Homework: ifws 41

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